Home
Class 12
MATHS
The boolean expression ~ (p rArr (~ q)) ...

The boolean expression `~ (p rArr (~ q))` is equivalent to

A

`p wedge q`

B

`q rArr ~p`

C

`p vee q`

D

`(~p) rArr q`

Text Solution

Verified by Experts

The correct Answer is:
A
Given boolean expression is
` ~ (p rArr (~q))`
`-= ~ ((~p) vee (~q)) " "[ becauseP rArr q -= ~ p vee q]`
` -= p wedge q`
Promotional Banner

Similar Questions

Explore conceptually related problems

p iff q is equivalent to :

The Boolean Expression ~(pvvq) vv(~pvvq) is equivalent to

If the Boolean expression (po+q)^^(~psquareq) is equivalent to p^^q where o+, square epsilon{^^,vv} then the ordered pair (o+, square) is

The Boolean Expression (p^^~ q)vvqvv(~ p^^q) is equivalent to :

The expression ~(~p to q) is logically equivalent to

~(pvvq)vv(~p^^q) is equivalent to

If the Boolean expression (p oplusq)wedge (~p Theta q) is equivalent to p wedge q , where oplus, Theta in {vee, wedge} , then the ordered pair (oplus, Theta) is

p leftrightarrow q is equivalent to:

(~pvv~q) is logically equivalent to

If log_2 10=P ;(log_e 10)/(log_e7)=q and (11)^r= 10 , then which one of the following expressions is equivalent to log_(10) 154 ?